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nata0808 [166]
2 years ago
7

100 POINTS!!!!

Mathematics
2 answers:
Law Incorporation [45]2 years ago
5 0

Answer:

Part A: In order to find the x-intercepts, you should set f(x)=0. Then, .  and .

Part B: From the function, it is visible that it is going to be a minimum, because the function is cup-size. Vertex coordinates can be calculated by the formula . Then  and . The vertex coordinates are (-1.25, -0.125)

Part C: By using the vertex coordinates, we can construct the vertex of the function and then using the information about the x-intercept we can complete the function. The function looks like in the picture below.

Step-by-step explanation:

arlik [135]2 years ago
4 0

Answer:

Part A: In order to find the x-intercepts, you should set f(x)=0. Then, .  and .

Part B: From the function, it is visible that it is going to be a minimum, because the function is cup-size. Vertex coordinates can be calculated by the formula . Then  and . The vertex coordinates are (-1.25, -0.125)

Part C: By using the vertex coordinates, we can construct the vertex of the function and then using the information about the x-intercept we can complete the function. The function looks like in the picture below.

Step-by-step explanation:

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3 points
stich3 [128]

Step-by-step explanation:

2x + 100 = 90

x = -5

Angle A = 45 - 5 = 40.

6 0
2 years ago
What is -4 the square root of 12 + the square root of 75 in simplist radical form?
Fofino [41]

Answer:

<u>The simplest radical form of this mathematical expression is - 3√3</u>

Step-by-step explanation:

1. Let's write in a mathematical expression the information given:

-4 the square root of 12 + the square root of 75

-4 (√12) + √75

-4 (√4 * 3) + (√25 * 3)  (12 = 4 * 3 and 75 = 25 * 3)

-4 (2 √3) + 5 √3

-8 √3 + 5√3

- 3 √3

The result is- 3 square root of 3.

<u>The simplest radical form of this mathematical expression is - 3√3</u>

7 0
3 years ago
can put $11 of his allowance and in his savings account every week call how much money will he have after 15 weeks
dlinn [17]
11 x 15 = 165. he would have 165$
7 0
3 years ago
Read 2 more answers
Santos is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Santos run
Amanda [17]

Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

The given parameters are;

The distance along the shore of the child = 50 meters

The distance from the shore of the child = 60 meters

The rate at which Santos can run = 4 m/s

The rate he can swim = 0.9 m/s

Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9

The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

Simplifying using a graphing calculator gives;

\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}

1519·x² - 151900·x + 3505900 = 0

x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

7 0
2 years ago
Find tanθ + sinθ for the angle below.
larisa [96]

tan( tehta ) = 2/3

Sin( tetha ) = 2/√13

tan( tetha ) + Sin( tetha ) = 2/3 + 2/√13

= 2√13 + 6 / 3√13

5 0
2 years ago
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